well, i have been going over this problem for about 4 hours and everytime i get closer and closer to some answer but I am never convinced i am right.(adsbygoogle = window.adsbygoogle || []).push({});

THE PROBLEM:

letlambdabe the wavelength of light propagating in the x-y plane at an anglethetawith respect to the x-axis in the (x,y,z,t) frame. What is its wavelength and direction of propagation in the (x',y',z',t') frame.

I know the wave equation for a wave is

[tex]\Phi[/tex]cosK[x + ct]

but since traveling at an angle, theta should I put?

[tex]\Phi[/tex]cosk[xcos[tex]\theta[/tex] +ct]

+

[tex]\Phi[/tex]cosk[ycos[tex]\theta[/tex] +ct]

and using Lorentz's tranformation

x' = [tex]\gamma[/tex](x - vt)

t' = [tex]\gamma[/tex](t - ux/c^2)

I would appreciate any help, thanks

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# Homework Help: Light propagating at angle, under Lorentz transformation

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